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Finding the Fourth Proportional to 687,047.76, 948,135.24 and 514,660.32

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Solution

The fourth proportional to 687,047.76, 948,135.24 and 514,660.32 is: 710,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,047.76 : 948,135.24 = 514,660.32 : x
  2. Step 2: Convert to fraction form
    687,047.76/948,135.24 = 514,660.32/x
  3. Step 3: Cross multiply
    687,047.76x = 948,135.24 × 514,660.32
  4. Step 4: Simplify right side
    687,047.76x = 487,967,586,021.68
  5. Step 5: Solve for x
    x = 487,967,586,021.68/687,047.76
  6. Step 6: Final answer
    x = 710,238.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.